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A-66.

Examine the pattern of tiles below.

tile 

tile 

tile 

tile 

Figure 1

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

Figure 2

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

tile 

Figure 3

  1. On graph paper, draw Figures 4 and 5.

    Figure 1 is a -by- square.
    Figure 2 is a -by- square.
    Figure 3 is a -by- square.
    That means Figure x should be a square.

  2. What would Figure 10 look like? How many tiles would it have on each side? What about Figure 100?

    Refer to part (a).

    Figure 10: An -by- square that would have tiles.
    Can you use the pattern to find what Figure 100 would look like?

  1. Cami has a different pattern. She decided to represent the number of tiles in her pattern in a table, as shown below. Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern? How many tiles would Figure 8 have? Explain how you know.

Figure Number

Number of Tiles

  • Find the pattern in the chart.